Home / 4,024-5,553.04-2,255.76

Finding the Fourth Proportional to 4,024, 5,553.04 and 2,255.76

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Solution

The fourth proportional to 4,024, 5,553.04 and 2,255.76 is: 3,112.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,024 : 5,553.04 = 2,255.76 : x
  2. Step 2: Convert to fraction form
    4,024/5,553.04 = 2,255.76/x
  3. Step 3: Cross multiply
    4,024x = 5,553.04 × 2,255.76
  4. Step 4: Simplify right side
    4,024x = 12,526,325.51
  5. Step 5: Solve for x
    x = 12,526,325.51/4,024
  6. Step 6: Final answer
    x = 3,112.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.